1333131112133 has 8 divisors (see below), whose sum is σ = 1342214035320. Its totient is φ = 1324055678400.

The previous prime is 1333131112123. The next prime is 1333131112193. The reversal of 1333131112133 is 3312111313331.

It can be written as a sum of positive squares in 4 ways, for example, as 80347870849 + 1252783241284 = 283457^2 + 1119278^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1333131112133 - 2¹² = 1333131108037 is a prime.

It is a super-3 number, since 3×1333131112133³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333131112123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1514918 + ... + 2227383.

It is an arithmetic number, because the mean of its divisors is an integer number (167776754415).

Almost surely, 2^{1333131112133} is an apocalyptic number.

It is an amenable number.

1333131112133 is a deficient number, since it is larger than the sum of its proper divisors (9082923187).

1333131112133 is a wasteful number, since it uses less digits than its factorization.

1333131112133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744727.

The product of its digits is 1458, while the sum is 26.

Adding to 1333131112133 its reverse (3312111313331), we get a palindrome (4645242425464).

The spelling of 1333131112133 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-one million, one hundred twelve thousand, one hundred thirty-three".